13117177 has 2 divisors, whose sum is σ = 13117178. Its totient is φ = 13117176.

The previous prime is 13117147. The next prime is 13117207. The reversal of 13117177 is 77171131.

13117177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (13117147) and next prime (13117207).

It can be written as a sum of positive squares in only one way, i.e., 10374841 + 2742336 = 3221^2 + 1656^2 .

It is a cyclic number.

It is not a de Polignac number, because 13117177 - 2¹⁹ = 12592889 is a prime.

It is equal to p₈₅₆₃₂₄ and since 13117177 and 856324 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (13117147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6558588 + 6558589.

It is an arithmetic number, because the mean of its divisors is an integer number (6558589).

Almost surely, 2^13117177 is an apocalyptic number.

It is an amenable number.

13117177 is a deficient number, since it is larger than the sum of its proper divisors (1).

13117177 is an equidigital number, since it uses as much as digits as its factorization.

13117177 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1029, while the sum is 28.

The square root of 13117177 is about 3621.7643490432. The cubic root of 13117177 is about 235.8378242793.

The spelling of 13117177 in words is "thirteen million, one hundred seventeen thousand, one hundred seventy-seven".